6 papers
Propagation of chaos for Belavkin equations beyond pure states
Gaoyue Guo
We use probabilistic and stochastic-analysis methods to prove trace-norm propagation of chaos for finite-dimensional quantum mean-field systems governed by Belavkin equations. The…
Quantum Relative Entropy and the Mean-Field Limit
Gaoyue Guo, Hao Liang, Zhenfu Wang
We develop a quantum relative entropy method for the mean-field limit of quantum many-body systems. For closed systems governed by the von Neumann equation, we prove a quantitative…
Brownian motion on the Fubini extension space and applications
Hamed Amini, Nina H. Amini, Sofiane Chalal +1
We study a family of essentially pairwise independent Brownian motions indexed by a continuum of labels and show how the Fubini extension framework provides a rigorous way to repre…
Graphon Quantum Filtering Systems
Hamed Amini, Nina H. Amini, Sofiane Chalal +1
We consider a non-exchangeable system of interacting quantum particles with mean-field type interactions, subject to continuous measurement on dense graphs. In the mean-field limit…
Observed quantum particles system with graphon interaction
Sofiane Chalal, Nina H. Amini, Gaoyue Guo +1
In this paper, we consider a system of heterogeneously interacting quantum particles subject to indirect continuous measurement. The interaction is assumed to be of the mean-field…
Mean-field limit of particle systems with absorption
Gaoyue Guo, Maxime Latypov, Milica Tomasevic
In this work, we consider one-dimensional particles interacting in mean-field type through a bounded kernel. In addition, when particles hit some barrier (say zero), they are remov…